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Finding the Fourth Proportional to 10,874.36, 16,316.40 and 5,027.84

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Solution

The fourth proportional to 10,874.36, 16,316.40 and 5,027.84 is: 7,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.36 : 16,316.40 = 5,027.84 : x
  2. Step 2: Convert to fraction form
    10,874.36/16,316.40 = 5,027.84/x
  3. Step 3: Cross multiply
    10,874.36x = 16,316.40 × 5,027.84
  4. Step 4: Simplify right side
    10,874.36x = 82,036,248.58
  5. Step 5: Solve for x
    x = 82,036,248.58/10,874.36
  6. Step 6: Final answer
    x = 7,544.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.